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Finding the Fourth Proportional to 21,160.90, 31,718.97 and 7,825.32

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Solution

The fourth proportional to 21,160.90, 31,718.97 and 7,825.32 is: 11,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.90 : 31,718.97 = 7,825.32 : x
  2. Step 2: Convert to fraction form
    21,160.90/31,718.97 = 7,825.32/x
  3. Step 3: Cross multiply
    21,160.90x = 31,718.97 × 7,825.32
  4. Step 4: Simplify right side
    21,160.90x = 248,211,240.94
  5. Step 5: Solve for x
    x = 248,211,240.94/21,160.90
  6. Step 6: Final answer
    x = 11,729.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.